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Bending of a tube with a transverse hole

Bending of a tube with a transverse hole D d σ max M M d i
Bending of a tube with a transverse hole

Values for calculation

M \mathrm{Nm}
D \mathrm{mm}
d_i \mathrm{mm}
d \mathrm{mm}

Calculation

Coefficient C_1

C_1=3

Coefficient C_2

C_2=-6.25-0.585\cdot\left(\cfrac{d_i}{D}\right)+3.115\cdot\left(\cfrac{d_i}{D}\right)^2

Coefficient C_3

C_3=41-1.071\cdot\left(\cfrac{d_i}{D}\right)-6.746\cdot\left(\cfrac{d_i}{D}\right)^2

Coefficient C_4

C_4=-45+1.389\cdot\left(\cfrac{d_i}{D}\right)+13.889\cdot\left(\cfrac{d_i}{D}\right)^2

Stress concentration factor with the nominal stress based on gross area

K_{tg}=C_1+C_2\cdot\left(\cfrac{d}{D}\right)+C_3\cdot\left(\cfrac{d}{D}\right)^2+C_4\cdot\left(\cfrac{d}{D}\right)^3

Maximum normal stress

σ_{max}=\cfrac{K_{tg}\cdot32\cdot M\cdot 10^3\cdot D}{π\cdot\left(D^4-d_i^4\right)}